Question

1. Expand the following (a) (3x −12x+54)2 (b) (1y+ y − 2)2 2. Simplify: (a) (ax −1ax)2− (ax −1ax) (ax +1ax) (b) (3x + 2y − z)(9x2 + 4y2 + z2 − 6xy + 2yz + 3xz) 3. If x + 2y − 7 = 0, prove that x 3 + 8y 3 + 42xy − 343 = 0 4. If x + y − z = 5, x 2 + y 2 + z 2 = 29; find the value of xy − yz − xz 5. If a 2 − 3a + 1 = 0, the find the value of: (a) a − 1 a (b) a 2 − 1 a2 (c) a 3 + 1 a3 6. If x 2 + 1 4x 2 = 15, find the value of (x 3 + 1 8x 3 ) 7. If x 2−1 x = √2, find the values of (a) x 2 + 1 x 2 (b) 2 (x + 1 x ) (c) 2(x 3 + 1 x 3 ) (d) (x − 1 x ) 3

Answer 1

Answer:

12 x 2−2 x y −4 y 2. Enter an ... Step 1 :Equation at the end of step 1 ... 12x2 - 2xy - 4y2 = 2 • (6x2 - xy - 2y2) ... Found a factorization : (3x - 2y)•(2x + y) ...

Answer 2

Answer:

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